Author | Eisen, Martin. author |
---|---|
Title | Mathematical Models in Cell Biology and Cancer Chemotherapy [electronic resource] / by Martin Eisen |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1979 |
Connect to | http://dx.doi.org/10.1007/978-3-642-93126-0 |
Descript | IX, 431p. online resource |
References -- I Cells -- 1.1 Introduction -- 1.2 Cell Organization โ Protoplasm -- 1.3 Cellular Structures and their Function -- 1.4 The Life Cycle of Cells -- 1.5 Control of Cell Proliferation -- 1.6 Cancer -- 1.7 Metastasis and Invasion -- References -- II Modelling and Cell Growth -- 2.1 Introduction -- 2.2 Modelling Philosophy -- 2.3 Growth Laws -- 2.4 Two Compartment Growth -- References -- III Some Kinetic Cell Models -- 3.1 Introduction -- 3.2 A Discrete Differential Model -- 3.3 Continuous Versions of the Takahashi-Kendall Equations -- 3.4 Solutions of Continuous Models -- 3.5 Another General Approach to Continuous Models -- 3.6 Truccoโs Model -- References -- IV Autoradiography -- 4.1 Introduction -- 4.2 Fractional Labelled Mitosis Curve -- 4.3 Mathematical Models for FLM Curves: Pulse Labelling -- 4.4 FLM Curves for Continuous Labelling -- 4.5 The Labelling Index -- 4.6 Discussion -- References -- V Cell Synchrony -- 5.1 Introduction -- 5.2 Definition of Synchrony -- 5.3 Instantaneous Indices of Synchrony -- 5.4 Time-interval Indices of Synchrony -- 5.5 The Decay of Synchronization -- 5.6 Discussion -- References -- VI Flow Microfluorometry -- 6.1 Introduction -- 6.2 DNA Histogram: Steady-state and Constant Phase Length -- 6.3 Generation of DNA Histogram for Random Phase Lengths -- 6.4 Definition of an Asynchronous Population -- 6.5 Graphical Analysis of Asynchronous Populations -- 6.6 Analytic Analysis of Asynchronous Populations -- 6.7 Estimation of Mean Phase Lengths for Asynchronous Populations -- 6.8 Methods of Estimating Mean Cycle and Mitotic Time for Asynchronous Populations -- 6.9 Analysis of Synchronous Populations. Single Histogram -- 6.10 Analysis of Synchronous Populations from Multiple Histograms -- 6.11 Rate of DNA Synthesis -- 6.12 Determination of Percentage of Cells in G0 -- 6.13 Generalization of the Degree of Synchrony -- 6.14 Discussion -- References -- VII Control Theory -- 7.1 Introduction -- 7.2 External Description of Systems (input output relations) -- 7.3 Internal Description of Systems (State Space Description) -- 7.4 Optimal Control Theory -- References -- VIII Towards Mathematical Chemotherapy -- 8.1 Introduction -- 8.2 Growth Laws and Cycle Nonspecific Cancer Chemotherapy -- 8.3 Cycle Specific Chemotherapy -- 8.4 Pharmacokinetics -- 8.5 Remarks -- References -- IX Mathematical Models of Leukopoiesis and Leukemia -- 9.1 Introduction -- 9.2 The Hemopoietic System and its Neoplasms -- 9.3 Steady State Models of the Hemopoietic System -- 9.4 Kinetic Model of Neutrophil Production -- 9.5 Acute Myeloblastic Leukemia -- 9.6 A Chemotherapy Model of AML -- 9.7 Models of Chronic Granulocytic Leukemia (CGL) -- 9.8 A Discrete Mathematical Model of Acute Lymphoblastic Leukemia -- 9.9 A Comprehensive Computer Model of Granulopoiesis and Cancer Chemotherapy -- 9.10 Discussion -- References -- Appendix A Chemistry of Genes. Protein Synthesis -- 1. Introduction -- 2. The Building Blocks of DNA and RNA -- 3. The Chemical Structure of DNA and RNA -- 4. The Replication of DNA -- 5. The Genetic Code -- 6. Synthesis of RNA -- 7. Formation of Proteins -- 8. Defining the Gene -- References -- Appendix B Viruses -- 1. Introduction -- 2. Structure of Viruses -- 3. Replication of Viruses -- 4. Oncogenic Viruses 402 References -- Appendix C Cellular Energy -- 1. Introduction -- 2. Adenosine Triphosphate (ATP) -- 3. Formation of ATP 405 References -- Appendix D Immunology -- 1. The Immune System -- 2. The Immune System and Cancer 409 References -- Appendix E Mathematical Theories of Carcinogenesis -- References -- Appendix F Radiology and Cancer -- References -- Appendix G Applications of Control Theory to Normal and Malignant Cell Growth -- References